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Finding the Fourth Proportional to 409,022.80, 613,553.40 and 128,549.20

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Solution

The fourth proportional to 409,022.80, 613,553.40 and 128,549.20 is: 192,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,022.80 : 613,553.40 = 128,549.20 : x
  2. Step 2: Convert to fraction form
    409,022.80/613,553.40 = 128,549.20/x
  3. Step 3: Cross multiply
    409,022.80x = 613,553.40 × 128,549.20
  4. Step 4: Simplify right side
    409,022.80x = 78,871,798,727.28
  5. Step 5: Solve for x
    x = 78,871,798,727.28/409,022.80
  6. Step 6: Final answer
    x = 192,829.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.